High-Precision c and b Masses, and QCD Coupling from Current-Current Correlators in Lattice and Continuum QCD

By Craig McNeile, C. Davies, E. Follana, K. Hornbostel, G. Peter Lepage. 2008

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We extend our earlier lattice-QCD analysis of heavy-quark correlators to smaller lattice spacings and larger masses to obtain new values for the c mass and QCD coupling, and, for the first time, values for the b mass: m{sub c}(3 GeV,n{sub f}=4)=0.986(6) GeV, {alpha}{sub MS}(M{sub Z},n{sub f}=5)=0.1183(7), and m{sub b}(10 GeV,n{sub f}=5)=3.617(25) GeV. These are among the most accurate determinations by any method. We check our results using a nonperturbative determination of the mass ratio m{sub b}({mu},n{sub f})/m{sub c}({mu},n{sub f}); the two methods agree to within our 1% errors and taken together imply m{sub b}/m{sub c}=4.51(4). We also update our previous analysis of {alpha}{sub MS} from Wilson loops to account for revised values for r{sub 1} and r{sub 1}/a, finding a new value {alpha}{sub MS}(M{sub Z},n{sub f}=5)=0.1184(6); and we update our recent values for light-quark masses from the ratio m{sub c}/m{sub s}. Finally, in the Appendix, we derive a procedure for simplifying and accelerating complicated least-squares fits.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/d98748b557a731b6e56ee6b0fadb4e2d2b107db3

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